Divide Multi-Digit Numbers Using an Algorithm
Name Period
Objectives / Objetivos
Content Objective: I can divide multi-digit whole numbers and explain the meaning of the quotient and remainder.
Language Objective: I can explain my division using the words dividend, divisor, quotient, and remainder.
Key Idea / Idea clave
Algorithm: A step-by-step set of rules or instructions to solve a math problem. Long Division Algorithm: D (Divide), M (Multiply), S (Subtract), B (Bring Down). Formula: Divisor ) Dividend = Quotient R Remainder. 1. D - Divide: write quotient digit above the bar. 2. M - Multiply: digit × divisor. 3. S - Subtract: find the difference. 4. B - Bring down: next digit from dividend. 5. Repeat: continue until no digits remain (leftover = remainder). Example: 1,344 ÷ 12 = 112
I Notice / Observo
- What total amount needs to be divided?
- How many groups are the supplies being split into?
I Wonder / Me pregunto
- Will each section get the same amount with none left over?
Vocabulary / Vocabulario
| Term / Término | Definition / Definición |
|---|---|
| Algorithm Algoritmo | A step-by-step set of rules or instructions to solve a math problem. Un conjunto de pasos o instrucciones para resolver un problema de matemáticas. |
| Dividend Dividendo | The total number being divided into equal groups (the number inside the division bracket). El número total que se divide en grupos iguales (el número dentro de la galera de división). |
| Divisor Divisor | The number of equal groups you are dividing into (the number outside the division bracket). El número de grupos iguales en que divides (el número fuera de la galera de división). |
| Quotient Cociente | The answer when you divide. La respuesta cuando divides. |
| Remainder Residuo | What is left over when a number does not divide evenly. Lo que sobra cuando un número no se divide de forma exacta. |
| Divide Multi-Digit Numbers Dividir números de varias cifras | Separate a multi-digit number into equal groups to find a quotient. Separar un número de varias cifras en grupos iguales para hallar un cociente. |
Practice Preview / Vista previa de práctica
Read each task. Show your work in the spaces provided and explain how you know.
1. What is 936 ÷ 12?
- A 68
- B 76
- C 78
- D 87
Answer:
2. Complete each division problem.
Complete each empty cell. Show your reasoning below.
| Division Problem | Quotient |
|---|---|
| 672 ÷ 8 | |
| 2,208 ÷ 16 | |
| 2,016 ÷ 14 | |
| 1,560 ÷ 15 | |
| 3,276 ÷ 12 |
3. Match each division problem to its quotient.
Write the letter of the matching item in the blank.
| 1. | 450 ÷ 18 | A. | 25 | |
| 2. | 1,008 ÷ 16 | B. | 73 | |
| 3. | 1,440 ÷ 24 | C. | 72 | |
| 4. | 2,100 ÷ 15 | D. | 63 | |
| 5. | 864 ÷ 12 | E. | 60 | |
| 6. | 1,825 ÷ 25 | F. | 140 |
4. Find Sonia's Mistake
Which step has the mistake, and what should it be?
Reflection / Reflexión
One thing I learned today / Una cosa que aprendí hoy: